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" What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f? "
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... - Page 99
by Benjamin Peirce - 1837 - 284 pages
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...by 2 than the difference of the digits, the quotient becomes 14. Required the number. Ans. 48. 10. What fraction is that, whose numerator being doubled,...and denominator increased by 7, the value becomes — ; but the denominator being doubled, and the numerator 3 a increased by 2, the value becomes T?...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...by 2 than the difference of the digits, the quotient becomes 14. Required the number. Ans. 48. 10. What fraction is that, whose numerator being doubled, and denominator increased by 7, the value be2 comes - ; but the denominator being doubled, and the nuО 3 merator increased by 2, the value becomes...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 pages
...saddled, he will be worth $• as much as the other, but if the second horse be saddled he will be worth J as much as the first. What is the value of each horse ? A question similar to this has already been solved with one unknown quantity, but it will be more...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - Algebra - 1826 - 430 pages
...than the difference «f the digits, the quotient becomes 14. Required the number. Ans. 48. Prob. 13. What fraction is that, whose numerator being doubled,...and denominator increased by 7, the value becomes § ; but the denominator being doubled, and the numerator increased by 2, the value becomes | ? Ans....
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 330 pages
...saddled, he will be worth -| as much as the other, but if the second horse be saddled, he will be worth f as much as the first. What is the value of each horse ? A question similar to this has already been solved with one unknown quantity, but it will be more...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...when he takes the 8s. out of the first and puts it into the second, then the second is worth three times as much as the first. What is the value of each H i- /{&'. (. i', /. £ */21. A and B begin trade, A with triple the stock of B. They gain each £50,...
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Exercises in Algebra: Being Systematically Arranged and Adapted to the ...

Francis Joseph Grund - Algebra - 1833 - 224 pages
...the other ; but if he takes the $3 out of the first and puts them into the 2d, then this is worth 3 times as much as the first. What is the value of each box 1 6) A and В possess together a fortune of $570. If A's fortune were 3 times and B's 5 times as...
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First Lessons in Algebra: Being an Easy Introduction to that Science ...

Ebenezer Bailey - Algebra - 1835 - 258 pages
...and ^ of the second for $353, by which he gained $11. How many barrels were there in each lot ? 20. What fraction is that, whose numerator being doubled,...and denominator increased by 7, the value becomes £ ; but the denominator being doubled, and the numerator increased by 7, the value becomes 1 ? 21....
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 320 pages
...does in 26 days. In what time would each do it separately 1 Ans. A in 24 days ; В in 48 days. 16. What fraction is that, whose numerator being doubled,...and denominator increased by 7, the value becomes § ; but the denominator being doubled, and the numerator increased by 2, the value becomes f . 17....
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Elements of Algebra

William Smyth - Algebra - 1836 - 288 pages
...second by 6, subtracting the second from the first and reducing, we obtain x =21, whence y = 63. 3. What fraction is that, whose numerator being doubled,...and denominator increased by 7, the value becomes \ ; but the denominator being doubled, and the numerator increased by 2, the value becomes f ? Ans....
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